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Simplifying 10 + 5w = 12 + -3w Solving 10 + 5w = 12 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 10 + 5w + 3w = 12 + -3w + 3w Combine like terms: 5w + 3w = 8w 10 + 8w = 12 + -3w + 3w Combine like terms: -3w + 3w = 0 10 + 8w = 12 + 0 10 + 8w = 12 Add '-10' to each side of the equation. 10 + -10 + 8w = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 8w = 12 + -10 8w = 12 + -10 Combine like terms: 12 + -10 = 2 8w = 2 Divide each side by '8'. w = 0.25 Simplifying w = 0.25
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